{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 1. Diffusion equation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "The [diffusion equation](https://en.wikipedia.org/wiki/Diffusion_equation) reads\n",
    "$$\\frac{\\partial c}{\\partial t} + \\nabla. (-D \\nabla c) = 0$$\n",
    "This equation describe many transport processes, e.g., heat transfer by conduction and mass transfer by diffusion."
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.1 Steady-state diffusion equation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Here we solve a diffusion equation on a rectangular domain with fixed value on each boundary:\n",
    "$$\\nabla. (-D \\nabla c) = 0$$\n",
    "Boundary conditions:\n",
    "$$c(x=0,\\; y)=1.0$$\n",
    "$$c(x=L_x,\\; y)=3.0$$\n",
    "$$c(x,\\; y=0)=2.0$$\n",
    "$$c(x,\\; y=L_y)=4.0$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f1cf468ff10>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.colorbar.Colorbar object at 0x7f1cf464a890>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using JFVM\n",
    "\n",
    "# domain\n",
    "Lx = 2.0\n",
    "Ly = 1.0\n",
    "Nx = 30\n",
    "Ny = 20\n",
    "c_left   = 1.0\n",
    "c_right  = 3.0\n",
    "c_bottom = 2.0\n",
    "c_top    = 4.0\n",
    "m  = createMesh2D(Nx, Ny, Lx, Ly)\n",
    "\n",
    "# diffusion coefficient\n",
    "D_val  = 1e-5 # [m^2/s]\n",
    "D_cell = createCellVariable(m, D_val)\n",
    "D_face = harmonicMean(D_cell)\n",
    "M_diff = diffusionTerm(D_face)\n",
    "\n",
    "# Boundary conditions\n",
    "BC             = createBC(m)\n",
    "BC.left.a[:]   = 0.0\n",
    "BC.left.b[:]   = 1.0\n",
    "BC.left.c[:]   = c_left\n",
    "BC.right.a[:]  = 0.0\n",
    "BC.right.b[:]  = 1.0\n",
    "BC.right.c[:]  = c_right\n",
    "BC.bottom.a[:] = 0.0\n",
    "BC.bottom.b[:] = 1.0\n",
    "BC.bottom.c[:] = c_bottom\n",
    "BC.top.a[:]    = 0.0\n",
    "BC.top.b[:]    = 1.0\n",
    "BC.top.c[:]    = c_top\n",
    "M_bc, RHS_bc   = boundaryConditionTerm(BC)\n",
    "\n",
    "# solve the equation\n",
    "c = solveLinearPDE(m, -M_diff+M_bc, RHS_bc)\n",
    "figure(figsize=(7,3))\n",
    "visualizeCells(c)\n",
    "colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.2 Diffusion equation with a constant source term"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Let's add a source term right in the middle of the domain (q=1.0 mol/s); do not forget to divide the source term by the volume of the cell. You can derive the equation for yourself (think about the constant source term as a flux to the boundary, right on top of the cell)\n",
    "$$\\nabla. (-D \\nabla c) = q$$\n",
    "Boundary conditions:\n",
    "$$c(x=0,\\; y)=1.0$$\n",
    "$$c(x=L_x,\\; y)=1.0$$\n",
    "$$c(x,\\; y=0)=1.0$$\n",
    "$$c(x,\\; y=L_y)=1.0$$\n",
    "$$q(x=L_x/2,\\; y=L_y/2)=1.0$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f1cf49ccf90>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.colorbar.Colorbar object at 0x7f1cf4814c50>"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using JFVM\n",
    "\n",
    "# domain\n",
    "Lx = 2.0\n",
    "Ly = 1.0\n",
    "Nx = 30\n",
    "Ny = 20\n",
    "c_left   = 1.0    # [mol/m^3]\n",
    "c_right  = 1.0    # [mol/m^3]\n",
    "c_bottom = 1.0    # [mol/m^3]\n",
    "c_top    = 1.0    # [mol/m^3]\n",
    "q        = 1.0e-4 # [mol/s]\n",
    "m  = createMesh2D(Nx, Ny, Lx, Ly)\n",
    "\n",
    "# diffusion coefficient\n",
    "D_val  = 1e-5                          # [m^2/s]\n",
    "D_cell = createCellVariable(m, D_val)\n",
    "D_face = harmonicMean(D_cell)\n",
    "M_diff = diffusionTerm(D_face)\n",
    "\n",
    "# Boundary conditions\n",
    "BC             = createBC(m)\n",
    "BC.left.a[:]   = 0.0\n",
    "BC.left.b[:]   = 1.0\n",
    "BC.left.c[:]   = c_left\n",
    "BC.right.a[:]  = 0.0\n",
    "BC.right.b[:]  = 1.0\n",
    "BC.right.c[:]  = c_right\n",
    "BC.bottom.a[:] = 0.0\n",
    "BC.bottom.b[:] = 1.0\n",
    "BC.bottom.c[:] = c_bottom\n",
    "BC.top.a[:]    = 0.0\n",
    "BC.top.b[:]    = 1.0\n",
    "BC.top.c[:]    = c_top\n",
    "M_bc, RHS_bc   = boundaryConditionTerm(BC)\n",
    "\n",
    "# source term\n",
    "q_cell = createCellVariable(m, 0.0)\n",
    "v_cell = cellVolume(m)\n",
    "q_cell.value[Int(Nx/2)+1, Int(Ny/2)+1] = q       # [mol/s]\n",
    "RHS_source  = constantSourceTerm(q_cell./v_cell) # [mol/m^3/s]\n",
    "\n",
    "# solve the equation\n",
    "c = solveLinearPDE(m, -M_diff+M_bc, RHS_bc+RHS_source)\n",
    "figure(figsize=(7,3))\n",
    "visualizeCells(c)\n",
    "colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## 1.3 Diffusion equation with a linear source term"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Now I'm going to add a source term that is a linear function of the variable (here concentration, k = 1e-4 1/s). Pay attention to the signs! I have moved the term to the left, and you can see that the source term is indeed producing mass.\n",
    "$$\\nabla. (-D \\nabla c) - kc = 0$$\n",
    "Boundary conditions:\n",
    "$$c(x=0,\\; y)=1.0$$\n",
    "$$c(x=L_x,\\; y)=1.0$$\n",
    "$$c(x,\\; y=0)=1.0$$\n",
    "$$c(x,\\; y=L_y)=1.0$$\n",
    "$$q(x=L_x/2,\\; y=L_y/2)=1.0$$"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 19,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f1ce5e6bf50>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.colorbar.Colorbar object at 0x7f1ce5e2ecd0>"
      ]
     },
     "execution_count": 19,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "using JFVM\n",
    "\n",
    "# domain\n",
    "Lx = 2.0\n",
    "Ly = 1.0\n",
    "Nx = 30\n",
    "Ny = 20\n",
    "c_left   = 1.0    # [mol/m^3]\n",
    "c_right  = 1.0    # [mol/m^3]\n",
    "c_bottom = 1.0    # [mol/m^3]\n",
    "c_top    = 1.0    # [mol/m^3]\n",
    "k        = 1.0e-4 # [1/s]\n",
    "m  = createMesh2D(Nx, Ny, Lx, Ly)\n",
    "\n",
    "# diffusion coefficient\n",
    "D_val  = 1e-5                          # [m^2/s]\n",
    "D_cell = createCellVariable(m, D_val)\n",
    "D_face = harmonicMean(D_cell)\n",
    "M_diff = diffusionTerm(D_face)\n",
    "\n",
    "# Boundary conditions\n",
    "BC             = createBC(m)\n",
    "BC.left.a[:]   = 0.0\n",
    "BC.left.b[:]   = 1.0\n",
    "BC.left.c[:]   = c_left\n",
    "BC.right.a[:]  = 0.0\n",
    "BC.right.b[:]  = 1.0\n",
    "BC.right.c[:]  = c_right\n",
    "BC.bottom.a[:] = 0.0\n",
    "BC.bottom.b[:] = 1.0\n",
    "BC.bottom.c[:] = c_bottom\n",
    "BC.top.a[:]    = 0.0\n",
    "BC.top.b[:]    = 1.0\n",
    "BC.top.c[:]    = c_top\n",
    "M_bc, RHS_bc   = boundaryConditionTerm(BC)\n",
    "\n",
    "# linear source term (reaction)\n",
    "k_cell = createCellVariable(m, k)\n",
    "M_source  = linearSourceTerm(k_cell) # [mol/m^3/s]\n",
    "\n",
    "# solve the equation\n",
    "c = solveLinearPDE(m, -M_source-M_diff+M_bc, RHS_bc)\n",
    "figure(figsize=(7,3))\n",
    "visualizeCells(c)\n",
    "colorbar()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Transient diffusion term"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Advection equation"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Cahn-Hilliard"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "using JFVM, Distributions\n",
    "\n",
    "nx=200\n",
    "ny=200\n",
    "m=createMesh2D(nx, ny, 200.0, 200.0)\n",
    "BC=createBC(m)\n",
    "#BC.left.a[:]=0.0 \n",
    "#BC.left.b[:]=1.0\n",
    "#BC.left.c[:]=1.0\n",
    "#BC.right.a[:]=0.0\n",
    "#BC.right.b[:]=1.0\n",
    "#BC.right.c[:]=0.0\n",
    "D=1.0\n",
    "a=1.0\n",
    "e=1.0\n",
    "D_cell=createCellVariable(m, 1.0)\n",
    "D_face=arithmeticMean(D_cell)\n",
    "e_cell=createCellVariable(m, 1.0)\n",
    "e_face  = arithmeticMean(e_cell)\n",
    "e_face2 = arithmeticMean(e_cell)\n",
    "phi_old=createCellVariable(m, rand(Normal(0.5, 0.01), nx,ny))\n",
    "phi_init=copyCell(phi_old)\n",
    "phi=copyCell(phi_old)\n",
    "Mbc, RHSbc=boundaryConditionTerm(BC)\n",
    "Mdif2=diffusionTerm(D_face)*diffusionTerm(e_face.*e_face2)\n",
    "dt=1\n",
    "for i=1:20\n",
    "    phi_face=arithmeticMean(phi)\n",
    "    Mt, RHSt=transientTerm(phi_old, dt)\n",
    "    Mdif1=diffusionTerm(a^2*D_face.*(1.0-6.0*phi_face.*(1-phi_face)))\n",
    "    M=Mbc-Mdif1+Mdif2+Mt\n",
    "    RHS=RHSt+RHSbc\n",
    "    phi=solveLinearPDE(m,M,RHS)\n",
    "    phi_old=copyCell(phi)\n",
    "end"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "PyPlot.Figure(PyObject <matplotlib.figure.Figure object at 0x7f9ffa3d8910>)"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "text/plain": [
       "PyObject <matplotlib.colorbar.Colorbar object at 0x7f9fc8744050>"
      ]
     },
     "execution_count": 8,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "visualizeCells(phi)\n",
    "colorbar()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "JFVM.FaceValue{Float64}(JFVM.MeshStructure(2, [200, 200], JFVM.CellSize{Float64}([1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0  …  1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0, 1.0], [0.0]), JFVM.CellLocation{Float64}([0.5, 1.5, 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5  …  190.5, 191.5, 192.5, 193.5, 194.5, 195.5, 196.5, 197.5, 198.5, 199.5], [0.5, 1.5, 2.5, 3.5, 4.5, 5.5, 6.5, 7.5, 8.5, 9.5  …  190.5, 191.5, 192.5, 193.5, 194.5, 195.5, 196.5, 197.5, 198.5, 199.5], [0.0]), JFVM.FaceLocation{Float64}([0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0  …  191.0, 192.0, 193.0, 194.0, 195.0, 196.0, 197.0, 198.0, 199.0, 200.0], [0.0, 1.0, 2.0, 3.0, 4.0, 5.0, 6.0, 7.0, 8.0, 9.0  …  191.0, 192.0, 193.0, 194.0, 195.0, 196.0, 197.0, 198.0, 199.0, 200.0], [0.0]), [1, 202, 40603, 40804], [1]), [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0], [1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0; … ; 1.0 1.0 … 1.0 1.0; 1.0 1.0 … 1.0 1.0], [1.0])"
      ]
     },
     "execution_count": 6,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "e_face2 = e_face\n",
    "e_face .* e_face2"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Julia 0.6.0",
   "language": "julia",
   "name": "julia-0.6"
  },
  "language_info": {
   "file_extension": ".jl",
   "mimetype": "application/julia",
   "name": "julia",
   "version": "0.6.0"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
